Mathematical Modelling, Applied Analysis and Computation, Jagdev Singh; Devendra Kumar; Hemen Dutta; Dumitru

Автор: Strang Gilbert
Название: Linear Algebra and Learning from Data
ISBN: 0692196382 ISBN-13(EAN): 9780692196380
Издательство: Cambridge Academ
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Цена: 66520.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Linear algebra and the foundations of deep learning, together at last! From Professor Gilbert Strang, acclaimed author of Introduction to Linear Algebra, comes Linear Algebra and Learning from Data, the first textbook that teaches linear algebra together with deep learning and neural nets. This readable yet rigorous textbook contains a complete course in the linear algebra and related mathematics that students need to know to get to grips with learning from data. Included are: the four fundamental subspaces, singular value decompositions, special matrices, large matrix computation techniques, compressed sensing, probability and statistics, optimization, the architecture of neural nets, stochastic gradient descent and backpropagation.

Автор: Martinsson, Per-gunnar
Название: Fast direct solvers for elliptic pdes
ISBN: 1611976030 ISBN-13(EAN): 9781611976038
Издательство: Mare Nostrum (Eurospan)
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Цена: 72730.00 T
Наличие на складе: Невозможна поставка.
Описание: Fast solvers for elliptic PDEs form a pillar of scientific computing. They enable detailed and accurate simulations of electromagnetic fields, fluid flows, biochemical processes, and much more. This textbook provides an introduction to fast solvers from the point of view of integral equation formulations, which lead to unparalleled accuracy and speed in many applications. The focus is on fast algorithms for handling dense matrices that arise in the discretization of integral operators, such as the fast multipole method and fast direct solvers. While the emphasis is on techniques for dense matrices, the text also describes how similar techniques give rise to linear complexity algorithms for computing the inverse or the LU factorization of a sparse matrix resulting from the direct discretization of an elliptic PDE.This is the first textbook to detail the active field of fast direct solvers, introducing readers to modern linear algebraic techniques for accelerating computations, such as randomized algorithms, interpolative decompositions, and data-sparse hierarchical matrix representations. Written with an emphasis on mathematical intuition rather than theoretical details, it is richly illustrated and provides pseudocode for all key techniques.Fast Direct Solvers for Elliptic PDEs is appropriate for graduate students in applied mathematics and scientific computing, engineers and scientists looking for an accessible introduction to integral equation methods and fast solvers, and researchers in computational mathematics who want to quickly catch up on recent advances in randomized algorithms and techniques for working with data-sparse matrices.

Автор: Wazwaz Abdul-Majid
Название: First Course In Integral Equations, A (Second Edition)
ISBN: 9814675121 ISBN-13(EAN): 9789814675123
Издательство: World Scientific Publishing
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Цена: 42240.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This second edition integrates the newly developed methods with classical techniques to give both modern and powerful approaches for solving integral equations.

Автор: Dumitru Baleanu and Antonio Mendes Lopes
Название: Handbook of Fractional Calculus with Applications
ISBN: 3110570920 ISBN-13(EAN): 9783110570922
Издательство: Walter de Gruyter
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Цена: 149590.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This eighth volume collects authoritative chapters covering several applications of fractional calculus in engineering, life and social sciences, including applications in signal and image analysis, and chaos.

Автор: Fred J. Hickernell, Peter Kritzer
Название: Multivariate Algorithms and Information-Based Complexity
ISBN: 3110633116 ISBN-13(EAN): 9783110633115
Издательство: Walter de Gruyter
Цена: 128870.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:

The series is devoted to the publication of high-level monographs, surveys and proceedings which cover the whole spectrum of computational and applied mathematics.

Автор: Jeffrey Humpherys, Tyler J. Jarvis
Название: Foundations of Applied Mathematics, Volume 2: Algorithms, Approximation, Optimization
ISBN: 1611976057 ISBN-13(EAN): 9781611976052
Издательство: Mare Nostrum (Eurospan)
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Цена: 81090.00 T
Наличие на складе: Невозможна поставка.
Описание: In this second book of what will be a four-volume series, the authors present, in a mathematically rigorous way, the essential foundations of both the theory and practice of algorithms, approximation, and optimization—essential topics in modern applied and computational mathematics. This material is the introductory framework upon which algorithm analysis, optimization, probability, statistics, machine learning, and control theory are built. This text gives a unified treatment of several topics that do not usually appear together: the theory and analysis of algorithms for mathematicians and data science students; probability and its applications; the theory and applications of approximation, including Fourier series, wavelets, and polynomial approximation; and the theory and practice of optimization, including dynamic optimization.When used in concert with the free supplemental lab materials, Foundations of Applied Mathematics, Volume 2: Algorithms, Approximation, Optimization teaches not only the theory but also the computational practice of modern mathematical methods. Exercises and examples build upon each other in a way that continually reinforces previous ideas, allowing students to retain learned concepts while achieving a greater depth. The mathematically rigorous lab content guides students to technical proficiency and answers the age-old question “When am I going to use this?”This textbook is geared toward advanced undergraduate and beginning graduate students in mathematics, data science, or machine learning.

Автор: Qiang Du
Название: Nonlocal Modeling, Analysis, and Computation
ISBN: 1611975611 ISBN-13(EAN): 9781611975611
Издательство: Mare Nostrum (Eurospan)
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Цена: 51410.00 T
Наличие на складе: Невозможна поставка.
Описание: Studies of complexity, singularity, and anomaly using nonlocal continuum models are steadily gaining popularity. This monograph provides an introduction to basic analytical, computational, and modeling issues and to some of the latest developments in these areas.Nonlocal Modeling, Analysis, and Computation includes motivational examples of nonlocal models, basic building blocks of nonlocal vector calculus, elements of theory for well-posedness and nonlocal spaces, connections to and coupling with local models, convergence and compatibility of numerical approximations, and various applications, such as nonlocal dynamics of anomalous diffusion and nonlocal peridynamic models of elasticity and fracture mechanics.A particular focus is on nonlocal systems with a finite range of interaction to illustrate their connection to traditional local systems represented by partial differential equations and fractional PDEs. These models are designed to represent nonlocal interactions explicitly and to remain valid for complex systems involving possible singular solutions and they have the potential to be alternatives to as well as bridges to existing local continuum and discrete models.The author discusses ongoing studies of nonlocal models to encourage the discovery of new mathematical theory for nonlocal continuum models and offer new perspectives on existing discrete models and local continuum models and the connections between them.

Автор: Chew Elaine Et Al
Название: Mathemusical Conversations: Mathematics And Computation In Music Performance And Composition
ISBN: 9813140097 ISBN-13(EAN): 9789813140097
Издательство: World Scientific Publishing
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Цена: 111930.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Mathemusical Conversations celebrates the understanding of music through mathematics, and vice versa.

Автор: Johnathan M. Bardsley
Название: Computational Uncertainty Quantification for Inverse Problems
ISBN: 1611975379 ISBN-13(EAN): 9781611975376
Издательство: Mare Nostrum (Eurospan)
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Цена: 53090.00 T
Наличие на складе: Невозможна поставка.
Описание: This book is an introduction to both computational inverse problems and uncertainty quantification (UQ) for inverse problems. The book also presents more advanced material on Bayesian methods and UQ, including Markov chain Monte Carlo sampling methods for UQ in inverse problems. Each chapter contains MATLAB® code that implements the algorithms and generates the figures, as well as a large number of exercises accessible to both graduate students and researchers. Computational Uncertainty Quantification for Inverse Problems is intended for graduate students, researchers, and applied scientists. It is appropriate for courses on computational inverse problems, Bayesian methods for inverse problems, and UQ methods for inverse problems.

Автор: Dingyu Xue
Название: [Set MATLAB]
ISBN: 3110675927 ISBN-13(EAN): 9783110675924
Издательство: Walter de Gruyter
Цена: 297530.00 T
Наличие на складе: Нет в наличии.
Описание:

This MATLAB SET is from the viewpoint of an engineering professor, concentrating on solving various applied mathematical problems with tools. Many innovative skills and general-purpose solvers are provided to solve problems with MATLAB, whereas not possible by any other existing solvers, so as to better illustrate the applications of computer tools in solving mathematical problems in every mathematics branches.

Автор: Dingyu Xue
Название: Calculus Problem Solutions With MATLAB
ISBN: 3110663627 ISBN-13(EAN): 9783110663624
Издательство: Walter de Gruyter
Цена: 74320.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:

This book focuses on solving practical problems in calculus with MATLAB. Descriptions and sketching of functions and sequences are introduced first, followed by the analytical solutions of limit, differentiation, integral and function approximation problems of univariate and multivariate functions. Advanced topics such as numerical differentiations and integrals, integral transforms as well as fractional calculus are also covered in the book.

Автор: Dingyu Xue
Название: MATLAB Programming: Mathematical Problem Solutions
ISBN: 3110663562 ISBN-13(EAN): 9783110663563
Издательство: Walter de Gruyter
Цена: 74320.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:

This book presents fundamentals in MATLAB programming, including data and statement structures, control structures, function writing and bugging in MATLAB programming, followed by the presentations of algebraic computation, transcendental function evaluations and data processing. Advanced topics such as MATLAB interfacing, object-oriented programming and graphical user interface design are also addressed.